जर \((x+\frac{1}{x})\) = 5, आणि x > 1, \((x^8-\frac{1}{x^8} )\) चे मूल्य काय आहे?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3)

Answer 1

दिलेले आहे:

\((x+\frac{1}{x})\) = 5 आणि x > 1

गणना:

\((x+\frac{1}{x})\) = 5

तर x² + 1/x² = 25 - 2

⇒ 23

परत,

x - 1/x = √21

x2 - 1/x2 =5√21

⇒ x⁴ + 1/x⁴ = 529 - 2

⇒ 527

x4 - 1/x4 =115√21

x⁸ - 1/x⁸ =( x4 + 1/x4 ) ×(x4 - 1/x4 )

⇒ 115√21 × 527

= 60605√21

∴ योग्य पर्याय 1 आहे

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